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Finding the Fourth Proportional to 6,873.80, 10,314.66 and 4,107.20

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Solution

The fourth proportional to 6,873.80, 10,314.66 and 4,107.20 is: 6,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.80 : 10,314.66 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    6,873.80/10,314.66 = 4,107.20/x
  3. Step 3: Cross multiply
    6,873.80x = 10,314.66 × 4,107.20
  4. Step 4: Simplify right side
    6,873.80x = 42,364,371.55
  5. Step 5: Solve for x
    x = 42,364,371.55/6,873.80
  6. Step 6: Final answer
    x = 6,163.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.